Given function, Evaluate .

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Given function, f(x)={x2,for 0≤x<1x,for 1≤x≤2f(x) = \begin{cases} x^2, & \text{for } 0 \le x < 1 \\ \sqrt{x}, & \text{for } 1 \le x \le 2 \end{cases} Evaluate ∫02f(x)dx\int_0^2 f(x) dx .

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